Find the following Legendre transforms of the entropy: LE [S], Lv [S], and Lv [LE[S]]. To which thermodynamic potentials do these relate? Write both the integrated form and the differential form of each potential.

Thermodynamics

How many intensive variables are necessary to completely specify the state of pure water and pure glycerol at temperatures above 18 degrees C. What are they? If the pressure is fixed at 1 bar, how many intensive variables are necessary?

Prove that it is impossible for two lines representing reversible, adiabatic precesses on a PV diagram to intersect. (Hint: Assume that they do intersect, and complete the cycle with a line representing a reversible, isothermal process. Show that performance of this cycle violates the second law.)

Examples for state functions are O a. Change in internal energy O b. Enthalpy O c. Work O d. Internal energy Clear my choice